Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13920q |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
60886080 = 26 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166,-680] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:2:1] [-6:8:1] |
Generators of the group modulo torsion |
j |
7952095936/951345 |
j-invariant |
L |
5.2517819094249 |
L(r)(E,1)/r! |
Ω |
1.3397980692032 |
Real period |
R |
3.9198309283637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13920y1 27840ej2 41760t1 69600q1 |
Quadratic twists by: -4 8 -3 5 |